Proof of a theorem of Littlewood and Paley
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- by A. Zygmund PDF
- Bull. Amer. Math. Soc. 51 (1945), 439-446
References
- G. H. Hardy and J. E. Littlewood, A maximal theorem with function-theoretic applications, Acta Math. 54 (1930), no. 1, 81–116. MR 1555303, DOI 10.1007/BF02547518
- G. H. Hardy and J. E. Littlewood, Some new properties of fourier constants, Math. Ann. 97 (1927), no. 1, 159–209. MR 1512359, DOI 10.1007/BF01447865 3. J. E. Littlewood and R. E. A. C. Paley, Theorems on Fourier series and power series. Part I, J. London Math. Soc. vol. 6 (1931) pp. 230-233; Part II, Proc. London Math. Soc. vol. 42 (1937) pp. 52-89; Part III, ibid. vol. 43 (1937) pp. 105-126.
- J. Marcinkiewicz and A. Zygmund, A theorem of Lusin. Part I, Duke Math. J. 4 (1938), no. 3, 473–485. MR 1546069, DOI 10.1215/S0012-7094-38-00440-5 5. M. Riesz, Sur les fonctions conjuguées, Math. Zeit. vol. 27 (1927) pp. 218-244. 6. A. Zygmund, Trigonometrical series, Warsaw, 1935.
- A. Zygmund, On certain integrals, Trans. Amer. Math. Soc. 55 (1944), 170–204. MR 9966, DOI 10.1090/S0002-9947-1944-0009966-5
- A. Zygmund, On the convergence and summability of power series on the circle of convergence. II, Proc. London Math. Soc. (2) 47 (1942), 326–350. MR 7042, DOI 10.1112/plms/s2-47.1.326
Additional Information
- Journal: Bull. Amer. Math. Soc. 51 (1945), 439-446
- DOI: https://doi.org/10.1090/S0002-9904-1945-08374-8
- MathSciNet review: 0012306